Search a number
-
+
2319296 = 26731167
BaseRepresentation
bin1000110110001111000000
311100211110212
420312033000
51043204141
6121413252
725466540
oct10661700
94324425
102319296
111344581
1293a228
13632885
14445320
1530c2eb
hex2363c0

2319296 has 56 divisors (see below), whose sum is σ = 5462016. Its totient is φ = 956160.

The previous prime is 2319287. The next prime is 2319299. The reversal of 2319296 is 6929132.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2319299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13805 + ... + 13971.

It is an arithmetic number, because the mean of its divisors is an integer number (97536).

22319296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731008).

2319296 is an abundant number, since it is smaller than the sum of its proper divisors (3142720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2319296 is a wasteful number, since it uses less digits than its factorization.

2319296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its digits is 5832, while the sum is 32.

The square root of 2319296 is about 1522.9235043166. The cubic root of 2319296 is about 132.3687272306.

The spelling of 2319296 in words is "two million, three hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 167 217 224 248 334 434 448 496 668 868 992 1169 1336 1736 1984 2338 2672 3472 4676 5177 5344 6944 9352 10354 10688 13888 18704 20708 36239 37408 41416 72478 74816 82832 144956 165664 289912 331328 579824 1159648 2319296